Results 21 to 30 of about 497 (94)
On feebly compact topologies on the semilattice $\exp_n\lambda$ [PDF]
We study feebly compact topologies $\tau$ on the semilattice $\left(\exp_n\lambda,\cap\right)$ such that $\left(\exp_n\lambda,\tau\right)$ is a semitopological semilattice. All compact semilattice $T_1$-topologies on $\exp_n\lambda$ are described.
Gutik, Oleg, Sobol, Oleksandra
core +1 more source
Preduals of semigroup algebras [PDF]
For a locally compact group G, the measure convolution algebra M(G) carries a natural coproduct. In previous work, we showed that the canonical predual C 0(G) of M(G) is the unique predual which makes both the product and the coproduct on M(G) weak ...
Daws, M., Pham, H-L., White, S.
core +1 more source
Quantum Dynamical Semigroups and Decoherence
We prove a version of the Jacobs‐de Leeuw‐Glicksberg splitting theorem for weak* continuous one‐parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003).
Mario Hellmich, Christian Maes
wiley +1 more source
Characterizations of vector‐valued weakly almost periodic functions
We characterize the weak almost periodicity of a vector‐valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left orbit. At the same time, we give the function some other equivalent properties.
Chuanyi Zhang
wiley +1 more source
In this paper we study the semigroup $\mathcal{I}_{\,\infty}^{?\nearrow}(\mathbb{N})$ of partial co-finite almost monotone bijective transformations of the set of positive integers $\mathbb{N}$.
I. Ya. Chuchman, O. V. Gutik
doaj +1 more source
Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup
We study compact and weakly compact multipliers on L(S), L(S)**, and LUC(S)*, where the latter is the dual of LUC(S). We show that a left cancellative semigroup S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L(S)**. We also prove that S is left amenable if and only if there is a nonzero compact (or weakly
Alireza Medghalchi
wiley +1 more source
A metrizable semitopological semilattice with non-closed partial order
We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff ...
Banakh Taras +2 more
doaj +1 more source
Shift invariant preduals of ℓ1(ℤ) [PDF]
The Banach space ℓ<sub>1</sub>(ℤ) admits many non-isomorphic preduals, for example, C(K) for any compact countable space K, along with many more exotic Banach spaces.
Daws, M. +3 more
core +2 more sources
Some algebraic universal semigroup compactifications
Universal compactifications of semitopological semigroups with respect to the properties satisfying the varieties of semigroups and groups are studied through two function algebras.
H. R. Ebrahimi-Vishki
wiley +1 more source
Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space
We introduce the notion of asymptotically almost nonexpansive curves which include almost‐orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves.
Gang Li, Jong Kyu Kim
wiley +1 more source

